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Finding the Fourth Proportional to 1,309.49, 1,963.61 and 615.58

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Solution

The fourth proportional to 1,309.49, 1,963.61 and 615.58 is: 923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.49 : 1,963.61 = 615.58 : x
  2. Step 2: Convert to fraction form
    1,309.49/1,963.61 = 615.58/x
  3. Step 3: Cross multiply
    1,309.49x = 1,963.61 × 615.58
  4. Step 4: Simplify right side
    1,309.49x = 1,208,756.83
  5. Step 5: Solve for x
    x = 1,208,756.83/1,309.49
  6. Step 6: Final answer
    x = 923.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.